Lê Thi Khanh Hien
Hello, my research interests include numerical optimization, machine learning, and operations research. Please contact me at khanhhiennt@gmail.com if you have questions about my papers.
Publications (in chronological order of first appearance)
2024
L. T. K. Hien, V. Leplat, N Gillis, "Block Majorization Minimization with Extrapolation and Application to β-NMF". [arXiv] [Matlab]
2023
V. Leplat, L. T. K. Hien, A. Onwunta, N Gillis, "Deep Nonnegative Matrix Factorization with Beta Divergences", accepted in Neural Computation. [arXiv] [Matlab]
L. T. K. Hien, S. Patra, S. Ben Taieb, "Anomaly detection with semi-supervised classification based on risk estimators", accepted in Transactions on Machine Learning Research. [arXiv] [Python] [OpenReview]
2022
L. T. K. Hien, D. Papadimitriou, "An inertial ADMM for a class of nonconvex composite optimization with nonlinear coupling constraints", accepted in Journal of Global Optimization. [doi] [arXiv] [Matlab]
L. T. K. Hien, D. Papadimitriou, "Multiblock ADMM for nonsmooth nonconvex optimization with nonlinear coupling constraints". [arXiv] [Matlab]
2021
L. T. K. Hien*, D. N. Phan*, N. Gillis, M. Ahookhosh, P. Patrinos, "Block Alternating Bregman Majorization Minimization with Extrapolation", SIAM J. on Mathematics of Data Science, 4 (1), pp. 1-25, 2022. [doi] [pdf] [Matlab] (*: equal contribution)
L. T. K. Hien*, D. N. Phan*, N. Gillis, "Inertial Alternating Direction Method of Multipliers for Non-Convex Non-Smooth Optimization", Computational Optimization and Applications, 83, pp. 247–285, 2022. [doi] [arXiv] [Matlab] (*: equal contribution)
O. Vu Thanh, A.M.S. Ang, N. Gillis, L. T. K. Hien, "Inertial Majorization-Minimization Algorithm for Minimum-Volume NMF", EUSIPCO 2021, 23-27 August, Dublin. [pdf] [Matlab]
2020
L. T. K. Hien, D. N. Phan, N. Gillis, "An Inertial Block Majorization Minimization Framework for Nonsmooth Nonconvex Optimization", Journal of Machine Learning Research, 24 (18), pp. 1-41, 2023. [arXiv] [Matlab] [pdf]
L. T. K. Hien and N. Gillis, "Algorithms for Nonnegative Matrix Factorization with the Kullback-Leibler Divergence", Journal of Scientific Computing 87, 93, 2021. [doi] [arXiv] [Matlab]
M. Ahookhosh, L. T. K. Hien, N. Gillis, P. Patrinos, "A block inertial Bregman proximal algorithm for nonsmooth nonconvex problems with application to symmetric nonnegative matrix tri-factorization", Journal of Optimization Theory and Applications, 190, pp. 234–258, 2021. [doi] [arXiv]
A.M.S. Ang, J.E. Cohen, N. Gillis, L. T. K. Hien, "Accelerating Block Coordinate Descent for Nonnegative Tensor Factorization", Numerical Linear Algebra with Applications, 2021. [doi] [arXiv] [Matlab]
A. M .S. Ang, J. E. Cohen, L. T. K. Hien, N. Gillis, "Extrapolated Alternating Algorithms for Approximate Canonical Polyadic Decomposition", ICASSP 2020, May 4-8, 2020, Barcelona. [doi] [pdf] [code]
2019
M. Ahookhosh, L. T. K. Hien, N. Gillis, P. Patrinos, "Multi-block Bregman proximal alternating linearized minimization and its application to orthogonal nonnegative matrix factorization", Computational Optimization and Applications, 79, pp. 681-715, 2021. [doi] [arXiv] [Matlab]
N. Gillis, L. T. K. Hien, V. Leplat, V. Y. F. Tan, "Distributionally Robust and Multi-Objective Nonnegative Matrix Factorization", IEEE Trans. on Pattern Analysis and Machine Intelligence, 2021. [doi] [arXiv] [Matlab]
L. T. K. Hien, N. Gillis, P. Patrinos, "Inertial Block Proximal Method for Non-Convex Non-Smooth Optimization", The 37th International Conference on Machine Learning ICML 2020. [doi] [pdf] [Matlab] [poster]
2018
L. T. K. Hien, C. B. Chua, "A global linear and local superlinear/quadratic inexact non-interior continuation method for variational inequalities", Set-Valued and Variational Analysis, 29, pp. 109–144, 2021. [doi] [arXiv]
L. T. K. Hien, M. Sim, H. Xu, "Mitigating Interdiction Risk with Fortification", Operations Research, 68 (2), pp. 348-362, 2020. [doi] [pdf]
2017
L. T. K. Hien*, R. Zhao*, W. B. Haskell, "An inexact primal-dual smoothing framework for large-scale non-bilinear saddle point problems", Journal of Optimization Theory and Applications, 200, pp. 34–67, 2024. [doi] [arXiv] (*: equal contribution)
2016
L. T. K. Hien, C. V. Nguyen, H. Xu, C. Lu, J. Feng, "Accelerated Randomized Mirror Descent Algorithms For Composite Non-strongly Convex Optimization", Journal of Optimization Theory and Applications, 181, pp. 541–566, 2019. [doi] [arXiv]
2015
C. B. Chua, L. T. K. Hien, "A Superlinearly convergent smoothing Newton continuation algorithm for variational inequalities over definable sets", SIAM Journal on Optimization, 25, pp. 1034–1063, 2015. [doi]
L. T. K. Hien, "Differential properties of Euclidean projection onto power cone", Mathematical Methods of Operations Research, 82, pp. 265–284, 2015. [doi]